A shrink-fitted peg subjected to cyclic loading

The plane problem of a peg, shrink fitted into a cavity and subjected to an oscillating/fluctuating axial load, is studied. Firstly, the conditions en suing complete adhesion, analogous to the elastic limit in plasticity, are found. For conditions where adhesion is not achieved everywhere in the firs t cycle, the stick-slip regime is tracked and the conditions under which fr ictional shakedown will occur are deduced. A frictional equivalent to the M elan principle is then applied to give identical results. The results summa rized are of practical relevance to the design of shrink-fitted joints, and demonstrate the extension of plastic shakedown to frictional problems.